71715387402720 has 1152 divisors, whose sum is σ = 275490374455296. Its totient is φ = 17547385798656.

The previous prime is 71715387402683. The next prime is 71715387402731. The reversal of 71715387402720 is 2720478351717.

It is a happy number.

71715387402720 is a `hidden beast` number, since 7 + 1 + 7 + 153 + 87 + 402 + 7 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17251714882 + ... + 17251719038.

It is an arithmetic number, because the mean of its divisors is an integer number (239140950048).

Almost surely, 2^{71715387402720} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71715387402720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137745187227648).

71715387402720 is an abundant number, since it is smaller than the sum of its proper divisors (203774987052576).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

71715387402720 is a wasteful number, since it uses less digits than its factorization.

71715387402720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4854 (or 4834 counting only the distinct ones).

The product of its (nonzero) digits is 4609920, while the sum is 54.

The spelling of 71715387402720 in words is "seventy-one trillion, seven hundred fifteen billion, three hundred eighty-seven million, four hundred two thousand, seven hundred twenty".